NDLI: On the concept of chirality

Content Provider	Springer Nature Link
Author	Le Guennec, Patrick
Copyright Year	1998
Abstract	In the literal sense of Kelvin’s classical definition, chirality is a dichotomous concept. In this letter, we report on theoretical results which tend to alter profoundly this conception of chirality in a class of spaces of chiral systems. The example space considered here is the space of 2D square‐integrable complex fields. Our results show that, in such spaces, chirality can be considered as a continuous, extensive and local geometrical phenomenon. The presented analysis, based on a theory of symmetry groups structure, provides a rigorous description of “the way”, “the place where”, and “the extent to which” an element of such spaces lacks indirect symmetries. Kelvin’s definition is shown to describe the exterior signs of this phenomenon. A major interest of this theory is that all results can be applied to molecular wavefunctions and orbitals. Then there is hope that such results provide a renewed insight in basic stereochemical issues related to chirality.
Starting Page	429
Ending Page	439
Page Count	11
File Format	PDF
ISSN	02599791
Journal	Journal of Mathematical Chemistry
Volume Number	23
Issue Number	3-4
e-ISSN	15728897
Language	English
Publisher	Kluwer Academic Publishers-Plenum Publishers
Publisher Date	1998-01-01
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Math. Applications in Chemistry Physical Chemistry Theoretical and Computational Chemistry
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Chemistry

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